✦ LIBER ✦
Coherent state transforms attached to generalized Bargmann spaces on the complex plane
✍ Scribed by Zouhaïr Mouayn
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 109 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We construct a family of coherent states transforms attached to generalized Bargmann spaces [C. R. Acad. Sci. Paris, t. 325, 1997] in the complex plane. This constitutes another way of obtaining the kernel of an isometric operator linking the space of square integrable functions on the real line with the true‐poly‐Fock spaces [Oper. Theory, Adv. Appl. v. 117, 2000]. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim